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Two cyclists, A and B, are 145 miles apart on a straight
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09 Dec 2017, 18:50
09 Dec 2017, 18:50
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Question Stats:
84% (02:18) correct
15% (01:45) wrong based on 45 sessions
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Two cyclists, A and B, are 145 miles apart on a straight road. At 1:30 p.m., cyclist A begins riding at a constant speed of 20 miles per hour toward cyclist B. At 2:00 p.m., cyclist B begins riding toward cyclist A at a constant speed. At 5:00 p.m. they meet. How fast, in miles per hour, was cyclist B riding?
Drill 2
Question: 9
Page: 532-533
Question: 9
Page: 532-533
Show: :: OA
25
Re: Two cyclists, A and B, are 145 miles apart on a straight
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10 Dec 2017, 09:43
10 Dec 2017, 09:43
1
Hi
Cyclist A has already made 10 miles in the 30 minutes.
So we substract this from the total miles : 135 apart now.
We can set as follows : 135/ (20 + x) = 3
And solve for x. 25.
Cyclist A has already made 10 miles in the 30 minutes.
So we substract this from the total miles : 135 apart now.
We can set as follows : 135/ (20 + x) = 3
And solve for x. 25.
Re: Two cyclists, A and B, are 145 miles apart on a straight
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29 Dec 2017, 16:44
29 Dec 2017, 16:44
Expert Reply
Explanation
Cyclist A rode for 3.5 hours at 20 miles per hour, so she traveled 20 × 3.5 = 70 miles.
Cyclist B then, must have traveled 145 – 70 = 75 miles. Since Cyclist B left at 2:00, she rode for 3 hours, giving her a speed of 75 ÷ 3 = 25 miles per hour.
Cyclist A rode for 3.5 hours at 20 miles per hour, so she traveled 20 × 3.5 = 70 miles.
Cyclist B then, must have traveled 145 – 70 = 75 miles. Since Cyclist B left at 2:00, she rode for 3 hours, giving her a speed of 75 ÷ 3 = 25 miles per hour.
